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Finding the Third Proportional to 51,413.06 and 118,022.06

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Solution

The third proportional to 51,413.06 and 118,022.06 is: 270,927.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,413.06 : 118,022.06 = 118,022.06 : x
  2. Step 2: Convert to fraction form
    51,413.06/118,022.06 = 118,022.06/x
  3. Step 3: Cross multiply
    51,413.06x = 118,022.06 × 118,022.06
  4. Step 4: Simplify right side
    51,413.06x = 13,929,207,236.75
  5. Step 5: Solve for x
    x = 13,929,207,236.75/51,413.06
  6. Step 6: Final answer
    x = 270,927.40

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.